Tensorial Simpson 1/8 Type Inequalities for Convex Functions of Selfadjoint Operators in Hilbert Space
Several Simpson 1 8 tensorial type inequalities for selfadjoint operators have been obtained with variation depending on the conditions imposed on the function f ||1/8[f(A)⊗1 + 6f(A⊗1 + 1⊗B/2) + 1⊗f(B)] − ∫01f(λ1⊗B + (1−λ)A⊗1)dλ|| ≤ 5||1⊗B − A⊗1||/32 ||f’||I,+∞.
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| Format: | Article |
| Language: | English |
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Ada Academica
2024-06-01
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| Series: | European Journal of Mathematical Analysis |
| Online Access: | https://adac.ee/index.php/ma/article/view/236 |
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| author | Vuk Stojiljković Sever Silvestru Dragomir |
| author_facet | Vuk Stojiljković Sever Silvestru Dragomir |
| author_sort | Vuk Stojiljković |
| collection | DOAJ |
| description | Several Simpson 1 8 tensorial type inequalities for selfadjoint operators have been obtained with variation depending on the conditions imposed on the function f
||1/8[f(A)⊗1 + 6f(A⊗1 + 1⊗B/2) + 1⊗f(B)] − ∫01f(λ1⊗B + (1−λ)A⊗1)dλ|| ≤ 5||1⊗B − A⊗1||/32 ||f’||I,+∞. |
| format | Article |
| id | doaj-art-5fc85047338b48bb97c85fa4ebc6ec27 |
| institution | DOAJ |
| issn | 2733-3957 |
| language | English |
| publishDate | 2024-06-01 |
| publisher | Ada Academica |
| record_format | Article |
| series | European Journal of Mathematical Analysis |
| spelling | doaj-art-5fc85047338b48bb97c85fa4ebc6ec272025-08-20T02:39:52ZengAda AcademicaEuropean Journal of Mathematical Analysis2733-39572024-06-014171710.28924/ada/ma.4.17236Tensorial Simpson 1/8 Type Inequalities for Convex Functions of Selfadjoint Operators in Hilbert SpaceVuk Stojiljković0Sever Silvestru Dragomir1Faculty of Science, University of Novi Sad, Trg Dositeja Obradovića 3, 21000 Novi Sad, SerbiaMathematics, College of Sport Health and Engineering, Victoria University Melbourne City, VIC 8001, AustraliaSeveral Simpson 1 8 tensorial type inequalities for selfadjoint operators have been obtained with variation depending on the conditions imposed on the function f ||1/8[f(A)⊗1 + 6f(A⊗1 + 1⊗B/2) + 1⊗f(B)] − ∫01f(λ1⊗B + (1−λ)A⊗1)dλ|| ≤ 5||1⊗B − A⊗1||/32 ||f’||I,+∞.https://adac.ee/index.php/ma/article/view/236 |
| spellingShingle | Vuk Stojiljković Sever Silvestru Dragomir Tensorial Simpson 1/8 Type Inequalities for Convex Functions of Selfadjoint Operators in Hilbert Space European Journal of Mathematical Analysis |
| title | Tensorial Simpson 1/8 Type Inequalities for Convex Functions of Selfadjoint Operators in Hilbert Space |
| title_full | Tensorial Simpson 1/8 Type Inequalities for Convex Functions of Selfadjoint Operators in Hilbert Space |
| title_fullStr | Tensorial Simpson 1/8 Type Inequalities for Convex Functions of Selfadjoint Operators in Hilbert Space |
| title_full_unstemmed | Tensorial Simpson 1/8 Type Inequalities for Convex Functions of Selfadjoint Operators in Hilbert Space |
| title_short | Tensorial Simpson 1/8 Type Inequalities for Convex Functions of Selfadjoint Operators in Hilbert Space |
| title_sort | tensorial simpson 1 8 type inequalities for convex functions of selfadjoint operators in hilbert space |
| url | https://adac.ee/index.php/ma/article/view/236 |
| work_keys_str_mv | AT vukstojiljkovic tensorialsimpson18typeinequalitiesforconvexfunctionsofselfadjointoperatorsinhilbertspace AT seversilvestrudragomir tensorialsimpson18typeinequalitiesforconvexfunctionsofselfadjointoperatorsinhilbertspace |